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On the Penrose inequality in anti-deSitter space

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arxiv 1709.02395 v2 pith:3SP4VPPU submitted 2017-09-07 gr-qc hep-th

classification gr-qchep-th
keywords inequalityanti-desitterasymptoticallydatapenrosespacetimesaadsanalysis
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For asymptotically flat spacetimes the Penrose inequality gives an initial data test for the weak cosmic censorship hypothesis. We give a formulation of this inequality for asymptotically anti-deSitter (AAdS) spacetimes, and show that the inequality holds for time asymmetric data in spherical symmetry. Our analysis is motivated by the constant-negative-spatial-curvature form of the AdS black hole metric.

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  1. Holographic Time Crystals vs Penrose

    hep-th 2025-02 conditional novelty 7.0 of 10

    In spherically symmetric Einstein-scalar gravity with conformally invariant boundary conditions, the AdS Penrose inequality holds exactly when a positive mass theorem holds, ruling out neutral, non-rotating holographi...

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